When browsed the $$$SPACE member in a non-load library always looks like an empty member. The starting TTR is always record 01 - so TTR would look like x'000D01'. And if you browse the member it is empty, but the data for the space is on the previous track (tt = x'000C' in the above case).
It's different for a load module library - $$$SPACE starting TTR points to a very small module like IEFBR14.
The start TTR is always record 01 as before, but the space map data is on the previous track as for a non-load PDS.